Phase-space representation for Galilean quantum particles of arbitrary spin

Abstract

The phase-space approach to quantization is extended to incorporate
\nspinning particles with Galilean symmetry. The appropriate phase space
\nis the coadjoint orbit R^6 x S^2. From two basic principles,
\ntraciality and Galilean covariance, the Weyl symbol calculus is
\nconstructed. Then the Galilean-equivariant twisted products of
\nfunctions on this phase space are identified.